what is 1000+194728573857275939868385937583957389583898389583958398395

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + \(\sqrt{2}\)) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

\(\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16\)

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

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Answer:

Step-by-step explanation:

To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10.  Breaking down the values in multiples of 10 will give;

1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)

Express in exponential form

1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)

1,000,000 = (10³) * (10³)

1,000,000 = 10³⁺³

1,000,000 = 10⁶

Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶

For 10 * 10:

10 * 10 = 10¹ * 10¹

10 * 10 = 10¹⁺¹

10 * 10 = 10²

10 * 10 = 1 * 10²

The value of the expression 10*10 in exponential form is 1 * 10²

For 10,000 * 10:

10,000 * 10 = (10*10*10*10) * 10

10,000 * 10 = (10⁴) * 10¹

10,000 * 10 = 10⁴⁺¹

10,000 * 10 = 1 * 10⁵

Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵

Answer:

2t-7

Step-by-step explanation:

Not sure what you need ;( hope this helps!

answer:

2t−7

step-by-step explanation:

distribute:

=(2)(t)+(2)(−4)+1

=2t+−8+1

combine like terms:

=2t+−8+1

=(2t)+(−8+1)

=2t+−7

good luck :)

hopefully, this helps

have a great day !!

The values of a, b, c, and the critical and inflection points, we can plot the graph by considering the shape and behavior of the polynomial function.

To sketch a graph with specific characteristics, such as 4 roots, 6 critical points, and 6 inflection points, we need to consider a higher degree polynomial function. Let's construct a polynomial function that satisfies these requirements.

To have a single root, we can use a linear factor, (x - a). To have double roots, we can use a quadratic factor, (x - b)^2. And for a triple root, we can use a cubic factor, (x - c)^3.

Considering these factors, let's construct a polynomial function:

f(x) = (x - a)(x - b)^2(x - c)^3

To have 4 roots, we need to choose appropriate values for a, b, and c.

To have 6 critical points, we can set the derivative of f(x) equal to zero and solve for x. The number of critical points corresponds to the number of distinct solutions.

f'(x) = 0

Expanding and solving for x, we'll obtain 6 values for x that correspond to the critical points.

To have 6 inflection points, we can set the second derivative of f(x) equal to zero and solve for x. The number of inflection points corresponds to the number of distinct solutions.

f''(x) = 0

Expanding and solving for x, we'll obtain 6 values for x that correspond to the inflection points.

After determining the values of a, b, c, and the critical and inflection points, we can plot the graph by considering the shape and behavior of the polynomial function.

Please note that without specific values for a, b, and c, it's not possible to provide an exact graph. The process described above is a general approach to construct a graph with the given characteristics.

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Answer:

The correct answer is B.

Explanation:

The difference of 9 times a number z -  9z - something

and 7 - and 7

Put everything together- 9z - 7

Happy studying! :)

Answer:

y = 22 2/3

x = 20

Step-by-step explanation:

y = 0, 4, 8, 12, 16, 20, 24

x = 3, 6, 9, 12, 15, 18, 21

Answer:

the third option

i think this is right but I could be wrong, sorry.  

Answer:

The mathematical problem that forms the basis of most modern cryptographic algorithms is the difficulty of factoring large prime numbers.

Step-by-step explanation:

The problem that forms the basis of most modern cryptographic algorithms is the difficulty of factoring large integers into their prime factors. This is known as the integer factorization problem. It is believed to be a computationally hard problem, meaning that it would take an impractically long time to factor very large integers using classical computers. Many cryptographic algorithms, such as RSA, rely on this problem for their security.

We have the next information

First type of chocolate $2.50 per lb

Second type of choclate 8.50 per lb

x= lbs of the cheaper chocolate

y=lbs of the expensive chocolate

36 total pounds

x+y=36

2.50(x)+8.50(y)=36(6.40)

2.5x+8.5y=230.4

then we solve the equation system

x+y=36 .....(1)

2.5x+8.5y=230.4 ....(2)

we clear x from the first equation

x=36-y

we substitute the equation above in the second equation

2.5(36-y)+8.5y=230.4

90-2.5y+8.5y=230.4

we clear y

6y=230.4-90

6y=140.4

y=140.4/6

y=23.4

then we substitute the value of y in the next equation

x=36-y=36-23.4

x=12.6

you will need 12.6 lbs of the cheaper chocolate and 23.4 lbs of the expensive chocolate

The common difference between successive terms in this sequence is -0.1.

The common difference between successive terms in a sequence is the constant value that is added or subtracted to each term to obtain the next term in the sequence. To find the common difference in the given sequence, we need to subtract each term from the term that follows it.
Subtract the first term (0.36) from the second term (0.26): 0.26 - 0.36 = -0.1
Subtract the second term (0.26) from the third term (0.16): 0.16 - 0.26 = -0.1
Subtract the third term (0.16) from the fourth term (0.06): 0.06 - 0.16 = -0.1
Based on the calculations, the common difference between successive terms in this sequence is -0.1. Therefore, the correct answer is a) -0.1.

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Answer:

Step-by-step explanation:

a.

To solve this system of equations, we can substitute the value of x from the second equation into the first equation:

x = 3y - 5

x + y = 3

Substituting x:

3y - 5 + y = 3

4y - 5 = 3

4y = 8

y = 2

Now, we can substitute y = 2 back into either equation to find x:

x + 2 = 3

x = 1

So the solution to the system of equations is (x, y) = (1, 2).

To confirm this solution, we can graph both equations on the same coordinate plane and see where they intersect:

x + y = 3 is a line with a y-intercept of 3 and a slope of -1.

x = 3y - 5 is a line with a y-intercept of -5/3 and a slope of 3.

Graphing these lines, we can see that they intersect at the point (1, 2), confirming our solution.

b.

To solve this system of equations, we can substitute the value of y from the second equation into the first equation:

y = -2x - 4

x - y = -5

Substituting y:

x - (-2x - 4) = -5

x + 2x + 4 = -5

3x = -9

x = -3

Now, we can substitute x = -3 back into either equation to find y:

y = -2(-3) - 4

y = 2

So the solution to the system of equations is (x, y) = (-3, 2).

To confirm this solution, we can graph both equations on the same coordinate plane and see where they intersect:

y = -2x - 4 is a line with a y-intercept of -4 and a slope of -2.

x - y = -5 is a line with a y-intercept of 5 and a slope of 1.

Graphing these lines, we can see that they intersect at the point (-3, 2), confirming our solution.

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

Answer:

Step-by-step explanation:

y+2=3(x+1)

y+2=3x+3

y+3x+5

y=mx+b

m=x-intercept

x-intercept=3

Answer:

  (-1/3, 0)

Step-by-step explanation:

You want the x-intercept of the line y +2 = 3(x + 1)​.

The x-intercept is the point where the graph intersects the x-axis. The value of y is zero there. It can be found by solving the equation for x with 0 substituted for y.

  0 +2 = 3(x +1) . . . . . substitute y=0 in the given equation

  2/3 = x +1 . . . . . . . . divide by 3

  -1/3 = x . . . . . . . . . . subtract 1

The x-intercept is x=-1/3. The point there is (-1/3, 0).

Answer:

Step-by-step explanation:

Here ya go!

The current location of G is (-4,3)

If it was translated to the left by four units, that would be an extra -4

so our new coordinates are (-8,3)

Now if we translate it up 3 units, thats adding 3

so our new coordinates are

(-8,6)

Hope this helps!^^

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

x=4 or x=-2

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

x=4 or x=-2

Answer:

The required answer is: -x^2+2x+8

Step-by-step explanation:

We have been given the two function:

f(x)=2x+1

And g(x)=x^2-7

We have to find (f-g)(x):

(f-g)(x)=f(x)-g(x)

(2x+1)-(x^2-7)

2x+1-x^2+7

-x^2+2x+8

Hence, the required answer is: -x^2+2x+8

Answer:

k=-100

Step-by-step explanation:

Hope this helped have an amazing day!

The factored form of the given trinomial expression: x² + 0x - 9 after using the diamond method is (x + 3)(x - 3).

The diamond method, also known as the box method or the X method, is a visual method for factoring quadratic trinomials of the form ax^2 + bx + c, where a, b, and c are constants.

The diamond method involves four steps:

Step 1: Write down the trinomial in standard form: ax² + bx + c.

Step 2: Draw a box and divide it into four cells by drawing a diagonal line.

Step 3: Write the coefficient a in the upper left cell of the box and the constant term c in the lower right cell.

Step 4: Find two numbers whose product is ac (the product of the coefficients of the leading and constant terms) and whose sum is b (the coefficient of the middle term).

Yes, there is another way to rewrite the trinomial that can make factoring easier. The trinomial x² + 0x - 9 can be rewritten as:

x² - 9

This is a difference of squares because 9 is a perfect square and can be written as 3². So, we can factor this expression using the formula for the difference of squares:

x² - 9 = (x + 3)(x - 3)

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Answer:

984760

Step-by-step explanation:

Step-by-step explanation:

prove the triangle proportionality theorem.

answer:-

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then that line divides these two sides proportionally.

From the statement: If ��∣∣��FG∣∣BC then,

Show that: ����=����FAFB=AGGC

Consider △���△ABC and △���△GFA

Reflexive property states that the value is equal to itself.

∠���≅∠���∠BAC≅∠GAF [Angle] {Reflexive property of equality}

Corresponding angles theorem states that if the two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent(i., e equal).

∠���≅∠���∠ABC≅∠GFA [Angle]

∠���≅∠���∠ACB≅∠AGF [Angle]

AA Similarity states that the two triangles have their corresponding angles equal if and only if their corresponding sides are proportional.

then, by AA similarity theorem:  

△���∼△���△ABC∼△GFA

By segment addition postulates:

AB = FA +FB and AC = AG + GC  

Corresponding sides in similar triangles are proportional  

����=����FAAB=AGAC .....[1]

Substitute AB = FA +FB and AC = AG + GC in [1]  

we have;

��+����=��+����FAFA+FB=AGAG+GC  

Separate the fraction:

����+����=����+����FAFA+FAFB=AGAG+AGGC

Simplify:

1+����=1+����1+FAFB=1+AGGC

Subtract 1 from both sides we get;

����=����FAFB=AGGC hence proved

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

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Answer:

sorry i cant help people who is cheating

Step-by-step explanation:

bye

Answer:

Median: b

Altitude: c

Angle bisector: a

Perpendicular bisector: d

Step-by-step explanation:

Answer:

The value of \(c\) must be 3.

Step-by-step explanation:

Let be \(y = f(x)\), there is an horizontal translation when function is transformed into \(y = f(x-c)\), where:

\(c > 0\) - Shift to the right.

\(c < 0\) - Shift to the left.

If \(f(x) = x^{2}\) and it is shifted right, then the value of \(c\) must be 3.

Statistical Process Control (SPC) is a methodology used to monitor, control, and improve processes by analyzing data and applying statistical techniques. Control charts are a key tool in SPC.

It involves the collection and analysis of data from a process to understand and control its variability. The goal of SPC is to ensure that a process operates within specified limits and remains stable over time, leading to consistent and predictable outcomes.

Control charts are a key tool in SPC. They provide a visual representation of process data over time and help to distinguish between common cause variation (inherent to the process) and special cause variation (resulting from specific factors).

Control charts display process measurements, such as sample means or individual measurements, plotted against time or the sequence of data collection.

Control charts typically include three lines: a centerline, an upper control limit (UCL), and a lower control limit (LCL). The centerline represents the process mean, while the control limits are calculated based on the process variability.

These control limits act as thresholds, indicating when the process is operating within acceptable limits or when it has deviated from its usual behavior.

By monitoring the data points on the control chart, process operators can identify patterns, trends, or unusual observations that may signal special causes of variation. When special causes are detected, actions can be taken to investigate and eliminate them, thereby improving process performance and reducing variability.

The use of SPC and control charts provides several benefits, including early detection of process issues, reduction of defects and waste, improved process stability, and the ability to make data-driven decisions for process improvement.

By focusing on understanding and controlling variability, organizations can achieve higher process quality, efficiency, and customer satisfaction.

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Answer:

X +80°+ X + 57°+ X + 71° + 56°= 360°

3X + 264° = 360°

3X = 96°

X = 32°

Answer:

32°.

Step-by-step explanation:

The work is in the photo, I suppose.

The sampling strategy she use was a quota.

Quotas are meant to establish boundaries on the number of specific goods that are allowed to be lawfully imported into the country throughout a distinct period of time. In that, quotas are similar embargoes, except quotas don´t have explicit political purposes as embargoes do.

A Fixed quota would be a maximum amount not to be surpassed, while a tariff rate surcharge allows it, but with a higher duty.

Answer:

the answer would be A

Step-by-step explanation:

The result is (x+3) (3x²+4) after factorizing the polynomial.

What is Grouping methods?

The process of rearrangement of algebraic expression depending on the presence of like term is called grouping method.

The process in how we rearrange an algebraic expression by grouping the like terms together with the help of parathesis.

Given. 3x³+9x²+4x+12

By factorizing 3x²(x+3) +4(x+3)

                         (x+3) (3x²+4)

Hence, we get (x+3) and (3x²+4)

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